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Finding the Third Proportional to 133,862.25 and 291,052.50

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Solution

The third proportional to 133,862.25 and 291,052.50 is: 632,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,862.25 : 291,052.50 = 291,052.50 : x
  2. Step 2: Convert to fraction form
    133,862.25/291,052.50 = 291,052.50/x
  3. Step 3: Cross multiply
    133,862.25x = 291,052.50 × 291,052.50
  4. Step 4: Simplify right side
    133,862.25x = 84,711,557,756.25
  5. Step 5: Solve for x
    x = 84,711,557,756.25/133,862.25
  6. Step 6: Final answer
    x = 632,826.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.